Slide R - 1 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Active Learning Lecture Slides For use with Classroom Response Systems © 2009 Pearson Education, Inc. All rights reserved. Chapter R Review

Slide R - 2 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Let U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 5, 8}, B = {2, 3, 5, 7} and C = {1, 4, 9}, find a.{1, 2, 3, 4, 5, 9} b.{1, 2, 3, 5} c.{1, 2, 3} d.{2, 3, 5}

Slide R - 3 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Let U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 5, 8}, B = {2, 3, 5, 7} and C = {1, 4, 9}, find a.{1, 2, 3, 4, 5, 9} b.{1, 2, 3, 5} c.{1, 2, 3} d.{2, 3, 5}

Slide R - 4 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall List all the elements of B that belong to the set of rational numbers. a. b. c. d.

Slide R - 5 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall List all the elements of B that belong to the set of rational numbers. a. b. c. d.

Slide R - 6 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Evaluate. a. c. b. d.

Slide R - 7 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Evaluate. a. c. b. d.

Slide R - 8 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Use the distributive property to remove parentheses. (x – 6)(x – 2) a. c. b. d.

Slide R - 9 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Use the distributive property to remove parentheses. (x – 6)(x – 2) a. c. b. d.

Slide R - 10 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Which statement expresses z is less than or equal to 7? a.z < 7 b.z ≤ 7 c.z > 7 d.z ≥ 7

Slide R - 11 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Which statement expresses z is less than or equal to 7? a.z < 7 b.z ≤ 7 c.z > 7 d.z ≥ 7

Slide R - 12 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Evaluate a.2 b.1 c.0 d.–1 when x = 4 and y = –5

Slide R - 13 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Evaluate a.2 b.1 c.0 d.–1 when x = 4 and y = –5

Slide R - 14 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Express the statement as an equation using the indicated variables. The area A of a triangle is one-half the product of its base b and its height h. a. b. c. d.

Slide R - 15 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Express the statement as an equation using the indicated variables. The area A of a triangle is one-half the product of its base b and its height h. a. b. c. d.

Slide R - 16 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Determine which value(s), if any, must be excluded from the domain of the variable expression. a. b. c. d.

Slide R - 17 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Determine which value(s), if any, must be excluded from the domain of the variable expression. a. b. c. d.

Slide R - 18 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Simplify the expression. Express the answer so that all exponents are positive. a. c. b. d.

Slide R - 19 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Simplify the expression. Express the answer so that all exponents are positive. a. c. b. d.

Slide R - 20 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Evaluate a. b. c. d. when x = 2 and y = –1.

Slide R - 21 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Evaluate a. b. c. d. when x = 2 and y = –1.

Slide R - 22 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall The lengths of the sides of a right triangle are 15, 36, 39. Determine if it is a right triangle. If it is, identify the hypotenuse. a.right triangle; 39 b.right triangle; 36 c.right triangle; 15 d.not a right triangle

Slide R - 23 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall The lengths of the sides of a right triangle are 15, 36, 39. Determine if it is a right triangle. If it is, identify the hypotenuse. a.right triangle; 39 b.right triangle; 36 c.right triangle; 15 d.not a right triangle

Slide R - 24 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Find the area A and circumference C of a circle of diameter 16 mi. Use 3.14 for π. Round the result to the nearest tenth. a.A = mi 2 ; C = 25.1 mi b.A = 50.2 mi 2 ; C = 50.2 mi c.A = mi 2 ; C = 25.1 mi d.A = 201 mi 2 ; C = 50.2 mi

Slide R - 25 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Find the area A and circumference C of a circle of diameter 16 mi. Use 3.14 for π. Round the result to the nearest tenth. a.A = mi 2 ; C = 25.1 mi b.A = 50.2 mi 2 ; C = 50.2 mi c.A = mi 2 ; C = 25.1 mi d.A = 201 mi 2 ; C = 50.2 mi

Slide R - 26 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Find the area of the shaded region. Express the answer in terms of π. a.4π – 4 square units b.4π – 16 square units c.16 square units d.8π – 16 square units 4 4

Slide R - 27 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Find the area of the shaded region. Express the answer in terms of π. a.4π – 4 square units b.4π – 16 square units c.16 square units d.8π – 16 square units 4 4

Slide R - 28 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall A flagpole casts a shadow of 28 feet. Nearby, a 10-foot tree casts a shadow of 5 feet. What is the height of the flagpole? a.14 ft b.56 ft c.1.8 ft d.1400 ft

Slide R - 29 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall A flagpole casts a shadow of 28 feet. Nearby, a 10-foot tree casts a shadow of 5 feet. What is the height of the flagpole? a.14 ft b.56 ft c.1.8 ft d.1400 ft

Slide R - 30 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Add. a. b. c. d.

Slide R - 31 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Add. a. b. c. d.

Slide R - 32 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Subtract. a. b. c. d.

Slide R - 33 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Subtract. a. b. c. d.

Slide R - 34 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Multiply. a. b. c. d.

Slide R - 35 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Multiply. a. b. c. d.

Slide R - 36 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Multiply. a. b. c. d.

Slide R - 37 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Multiply. a. b. c. d.

Slide R - 38 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Multiply. a. b. c. d.

Slide R - 39 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Multiply. a. b. c. d.

Slide R - 40 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Divide. a. b. c. d.

Slide R - 41 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Divide. a. b. c. d.

Slide R - 42 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Multiply. a. b. c. d.

Slide R - 43 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Multiply. a. b. c. d.

Slide R - 44 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d.

Slide R - 45 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d.

Slide R - 46 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d.

Slide R - 47 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d.

Slide R - 48 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d.

Slide R - 49 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d.

Slide R - 50 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d. prime

Slide R - 51 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d. prime

Slide R - 52 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d.

Slide R - 53 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d.

Slide R - 54 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d.

Slide R - 55 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d.

Slide R - 56 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d. Prime

Slide R - 57 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Factor. a. b. c. d. Prime

Slide R - 58 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Use synthetic division to find the quotient and the remainder. a. b. c. d.

Slide R - 59 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Use synthetic division to find the quotient and the remainder. a. b. c. d.

Slide R - 60 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Reduce the rational expression to lowest terms. a. c. b. d.

Slide R - 61 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Reduce the rational expression to lowest terms. a. c. b. d.

Slide R - 62 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Divide. a. c. b. d.

Slide R - 63 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Divide. a. c. b. d.

Slide R - 64 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Add. a. c. b. d.

Slide R - 65 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Add. a. c. b. d.

Slide R - 66 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Simplify. a. c. b. d.

Slide R - 67 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Simplify. a. c. b. d.

Slide R - 68 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Simplify. Assume all variables are positive. a. b. c. d.

Slide R - 69 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Simplify. Assume all variables are positive. a. b. c. d.

Slide R - 70 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Rationalize the denominator. a. c. b. d.

Slide R - 71 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Rationalize the denominator. a. c. b. d.

Slide R - 72 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Simplify. a. c. b. d.Not a real number

Slide R - 73 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Simplify. a. c. b. d.Not a real number

Slide R - 74 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Simplify. Express the answer so that only positive exponents occur. Assume that all variables are positive. a. b. c. d.

Slide R - 75 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Simplify. Express the answer so that only positive exponents occur. Assume that all variables are positive. a. b. c. d.